What is the Least Common Multiple of 47775 and 47784?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 47775 and 47784 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47775 and 47784, than apply into the LCM equation.

GCF(47775,47784) = 3
LCM(47775,47784) = ( 47775 × 47784) / 3
LCM(47775,47784) = 2282880600 / 3
LCM(47775,47784) = 760960200

Least Common Multiple (LCM) of 47775 and 47784 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47775 and 47784. First we will calculate the prime factors of 47775 and 47784.

Prime Factorization of 47775

Prime Factorization of 47784

Now multiplying the highest exponent prime factors to calculate the LCM of 47775 and 47784.

LCM(47775,47784) = 3¹ × 5² × 7² × 13¹ × 2³ × 11¹ × 181¹
LCM(47775,47784) = 760960200